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Analytical Solutions for Two Ferromagnetic Nanoparticles Immersed in a Magnetic Field

Mathematical Model in Bispherical Coordinates

(Autor)

Buch | Softcover
118 Seiten
2018
Morgan & Claypool Publishers (Verlag)
978-1-68173-280-0 (ISBN)
CHF 104,75 inkl. MwSt
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Offers a complete solution for investigating the behaviour of two ferromagnetic spherical particles, immersed in a uniform magnetic field, by obtaining exact mathematical models on a boundary value problem. This book analytically solves the boundary value problem by using a special technique called a bispherical coordinates system.
The investigation of the behavior of ferromagnetic particles in an external magnetic field is important for use in a wide range of applications in magnetostatics problems, from biomedicine to engineering. To the best of the author's knowledge, the systematic analysis for this kind of investigation is not available in the current literature. Therefore, this book contributes a complete solution for investigating the behavior of two ferromagnetic spherical particles, immersed in a uniform magnetic field, by obtaining exact mathematical models on a boundary value problem.

While there are a vast number of common numerical and analytical methods for solving boundary value problems in the literature, the rapidly growing complexity of these solutions causes increase usage of the computer tools in practical cases.

We analytically solve the boundary value problem by using a special technique called a bispherical coordinates system and the numerical computations were obtained by a computer tool. In addition to these details, we will present step-by-step instructions with simple explanations throughout the book, in an effort to act as inspiration in the reader's own modeling for relevant applications in science and engineering. On the other hand, the resulting analytical expressions will constitute benchmark solutions for specified geometric arrangements, which are beneficial for determining the validity of other relevant numerical techniques. The generated results are analyzed quantitatively as well as qualitatively in various approaches. Moreover, the methodology of this book can be adopted for real-world applications in the fields of ferrohydrodynamics, applied electromagnetics, fluid dynamics, electrical engineering, and so forth.

Higher-level university students, academics, engineers, scientists, and researchers involved in the aforementioned fields are the intended audience for this book.

Gehan Anthonys is a Lecturer in the Department of Electrical and Computer Engineering at the Open University of Sri Lanka (OUSL) and currently pursuing his Ph.D. in Engineering from the School of Engineering at the University of Waikato, New Zealand. He received a B.Sc. degree in Applied Sciences at the University of Sri Jayewardenepura, Sri Lanka, in 2001, and a B.Tech. degree in Computer Engineering at OUSL in 2005. He got M.Sc. degrees in Industrial Automation at the University of Moratuwa, Sri Lanka, and in Electrical and Computer Engineering at the University of Manitoba, Canada, in 2009 and 2014, respectively. He has 10 publications in refereed journals and conference proceedings together. His current research interests are in the fields of mathematical modeling, applied electromagnetic, and signal and image processing.

Preface
Acknowledgments
Symbols
Introduction
Numerical and Analytical Methods on Boundary Value Problems
Governing Equations
Mathematical Model
Results and Numerical Analysis
Conclusions
Solutions
Bibliography
Author's Biography
Index

Erscheinungsdatum
Reihe/Serie Synthesis Lectures on Electrical Engineering
Mitarbeit Herausgeber (Serie): Richard C. Dorf
Verlagsort San Rafael
Sprache englisch
Maße 191 x 235 mm
Gewicht 525 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Elektrodynamik
Technik Elektrotechnik / Energietechnik
ISBN-10 1-68173-280-7 / 1681732807
ISBN-13 978-1-68173-280-0 / 9781681732800
Zustand Neuware
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